A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and S (not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan, Assam and Kerala (not necessarily in that order). Further, it is given that - (i) D is studying in Assam (ii) Arts college is located in city S which is in Rajasthan (iii) A is studying in Commerce college (iv) B is studying in city Q (v) Science college is located in Kerala Which one of the following statements is correct regarding Engineering college?
- AC is studying there
- BB is studying there
- CB It is located in Gujarat
- DD is studying there.Correct
Explanation
Here's a step-by-step deduction:
- From statement (i), D is studying in Assam.
- From statement (iii), A is studying in Commerce college.
- From statement (v), Science college is located in Kerala.
- From statement (ii), Arts college is located in city S, which is in Rajasthan.
Now, let's combine these:
- We have four colleges: Science, Arts, Commerce, Engineering.
- We have four states: Gujarat, Rajasthan, Assam, Kerala.
- Science college is in Kerala.
- Arts college is in Rajasthan.
- D is in Assam.
Since A is in Commerce college, D cannot be in Commerce college. Since D is in Assam, and Science is in Kerala, Arts is in Rajasthan, D cannot be in Science or Arts college. Therefore, D must be studying in the Engineering college. And since D is in Assam, the Engineering college must be located in Assam.
Based on this deduction:
- Engineering college is in Assam.
- D is studying in Engineering college.
Now let's evaluate the options: A) C is studying there. (Incorrect, we deduced D is studying there) B) B is studying there. (Incorrect, we deduced D is studying there) C) It is located in Gujarat. (Incorrect, it is located in Assam) D) D is studying there. (Correct, as deduced)
The final answer is D.

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